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Finding the Fourth Proportional to 32,402.88, 48,604.66 and 9,029.32

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Solution

The fourth proportional to 32,402.88, 48,604.66 and 9,029.32 is: 13,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.88 : 48,604.66 = 9,029.32 : x
  2. Step 2: Convert to fraction form
    32,402.88/48,604.66 = 9,029.32/x
  3. Step 3: Cross multiply
    32,402.88x = 48,604.66 × 9,029.32
  4. Step 4: Simplify right side
    32,402.88x = 438,866,884.55
  5. Step 5: Solve for x
    x = 438,866,884.55/32,402.88
  6. Step 6: Final answer
    x = 13,544.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.